Fetching the paper…
Reading the bibliography…
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter.
E. Bombieri, J. Friedlander, H. Iwaniec, Some corrections to an old paper , arXiv:1903.01371
1903
Earlier work this paper cites.
E. C. Titchmarsh, A divisor problem , Rend. Circ. Mat. Palermo (2) 54
1933
Earlier work this paper cites.
C. Hooley, On the representation of a number as the sum of two squares and a prime , Acta Math. 97
1957
Earlier work this paper cites.
Ju. V. Linnik, An asymptotic formula in an additive problem of Hardy-Littlewood , Izv. Akad. Nauk SSSR Ser. Mat. 24
1960
Earlier work this paper cites.
Ju. V. Linnik, The dispersion method in binary additive problems , American Mathematical Society, Providence, RI, 1963
1963
Earlier work this paper cites.
G. Rodriquez, Sul problema dei divisori di Titchmarsh , Boll. Unione Mat. Ital. (3) 20
1965
Earlier work this paper cites.
P. D. T. A. Elliott, H. Halberstam, Some applications of Bombieri’s theorem , Mathematika 13
1966
Earlier work this paper cites.
H. Halberstam, Footnote to the Titchmarsh-Linnik divisor problem , Proc. Amer. Math. Soc. 18
1967
Earlier work this paper cites.
R. C. Vaughan, Sommes trigonométriques sur les nombres premiers , C. R. Acad. Sci. Paris Sr. A-B 285
1977
Earlier work this paper cites.
A. O. L. Atkin, W.-C. W. Li, Twists of newforms and pseudo-eigenvalues of W W -operators , Invent. Math. 48
1978
Earlier work this paper cites.
J.-M. Deshouillers, H. Iwaniec, Kloosterman sums and Fourier coefficients of cusp forms , Invent. Math. 70
1982
Earlier work this paper cites.
D. R. Heath-Brown, Prime numbers in short intervals and a generalized Vaughan identity , Canadian J. Math. 34
1982
Cited alongside, same era.
E. Fouvry, Sur le problème des diviseurs de Titchmarsh , J. reine angew. Math. 357
1985
Cited alongside, same era.
E. Bombieri, J. Friedlander, H. Iwaniec, Primes in arithmetic progressions to large moduli , Acta Math. 156
1986
Cited alongside, same era.
E. Bombieri, J. B. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli. II , Math. Ann. 277
1987
Cited alongside, same era.
J. Friedlander, A. Granville, A. Hildebrand, H. Maier, Oscillation theorems for primes in arithmetic progressions and for sifting functions , Journal of the American Mathematical Society 4
1991
Cited alongside, same era.
G. Harcos, P. Michel, The subconvexity problem for Rankin-Selberg L L -functions and equidistribution of Heegner points. II , Invent. Math. 163
2006
Later among the works it cites.
I. Gradshteyn, I. Ryzhik, Tables of integrals, series, and products , 7th edition, Academic Press, New York, 2007
2007
Later among the works it cites.
D. Fiorilli, Residue classes containing an unexpected number of primes , Duke Math. J. 161
2012
Later among the works it cites.
N. Pitt, On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms , J. AMS 26
2013
Later among the works it cites.
V. Blomer, D. Milićević, The second moment of twisted modular L L -functions , GAFA 25
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. B. Friedlander, A. Granville, Relevance of the residue class to the abundance of primes , Proceedings of the Amalfi Conference on Analytic Number Theory, Maiori, 1989 (University of Salerno, Salerno, 1992) 95-103
1992
Cited alongside, same era.
N. Pitt, On shifted convolutions of ζ 3 ( s ) \zeta^{3}(s) with automorphic L L -functions , Duke Math. J. 77
1995
Cited alongside, same era.
E. Kowalski, P. Michel, J. VanderKam, Rankin-Selberg L L -functions in the level aspect , Duke Math. J. 114
2002
Cited alongside, same era.
V. Blomer, Shifted convolution sums and subconvexity bounds for automorphic L L -functions , Int. Math. Res. Not. 2004
2004
Cited alongside, same era.
H. Iwaniec, E. Kowalski, Analytic Number Theory , AMS Colloquium Publications 53
2004
Cited alongside, same era.
M. Jutila, Y. Motohashi, Uniform bound for Hecke L-functions, Acta Math. 195
2005
Cited alongside, same era.
2015
Later among the works it cites.
S. Drappeau, Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method , Proc. Lond. Math. Soc. (3) 114
2017
Later among the works it cites.
B. Topacogullari, The shifted convolution of generalized divisor functions , IMRN 2018
2018
Later among the works it cites.
A. Booker, B. Milinovich, N. Ng, Subconvexity for modular form L L -functions in the t t -aspect , Adv. Math. 341
2019
Later among the works it cites.
M. Young, Explicit calculations with Eisenstein series , J. Number Theory 199
2019
Later among the works it cites.